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This paper investigates the use of probabilistic neural networks (PNNs) to model aleatoric uncertainty, which refers to the inherent variability in the input-output relationships of a system, often characterized by unequal variance or…

机器学习 · 统计学 2024-02-22 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Scott E. Stapleton

Early-exit neural networks (EENNs) accelerate inference by allowing intermediate classifiers to stop computation once predictions are confident enough. Most methods rely on confidence thresholds for exiting, and consequently, improving…

机器学习 · 计算机科学 2026-05-28 Piotr Kubaty , Filip Szatkowski , Grzegorz Choczyński , Eric Nalisnick , Bartosz Wójcik

The aim of this paper is to propose a suitable method for constructing prediction intervals for the output of neural network models. To do this, we adapt the extremely randomized trees method originally developed for random forests to…

机器学习 · 统计学 2021-05-14 Tullio Mancini , Hector Calvo-Pardo , Jose Olmo

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

数据分析、统计与概率 · 物理学 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

Prediction intervals are a valuable way of quantifying uncertainty in regression problems. Good prediction intervals should be both correct, containing the actual value between the lower and upper bound at least a target percentage of the…

机器学习 · 计算机科学 2018-07-02 Dongqi Su , Ying Yin Ting , Jason Ansel

Effective uncertainty estimation is becoming increasingly attractive for enhancing the reliability of neural networks. This work presents a novel approach, termed Credal-Set Interval Neural Networks (CreINNs), for classification. CreINNs…

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

机器学习 · 计算机科学 2024-01-17 Soyed Tuhin Ahmed

Neural networks predictions are unreliable when the input sample is out of the training distribution or corrupted by noise. Being able to detect such failures automatically is fundamental to integrate deep learning algorithms into robotics.…

计算机视觉与模式识别 · 计算机科学 2020-02-18 Antonio Loquercio , Mattia Segù , Davide Scaramuzza

This paper proposes a novel loss function, called 'Tube Loss', for simultaneous estimation of bounds of a Prediction Interval (PI) in the regression setup. The PIs obtained by minimizing the empirical risk based on the Tube Loss are shown…

机器学习 · 计算机科学 2026-05-18 Pritam Anand , Tathagata Bandyopadhyay , Suresh Chandra

While fiducial inference was widely considered a big blunder by R.A. Fisher, the goal he initially set --`inferring the uncertainty of model parameters on the basis of observations' -- has been continually pursued by many statisticians. To…

机器学习 · 统计学 2024-08-01 Faming Liang , Sehwan Kim , Yan Sun

A conditional expectation function (CEF) can at best be partially identified when the conditioning variable is interval censored. When the number of bins is small, existing methods often yield minimally informative bounds. We propose three…

计量经济学 · 经济学 2018-03-01 Sam Asher , Paul Novosad , Charlie Rafkin

A novel model called error loss network (ELN) is proposed to build an error loss function for supervised learning. The ELN is in structure similar to a radial basis function (RBF) neural network, but its input is an error sample and output…

机器学习 · 计算机科学 2022-08-02 Badong Chen , Yunfei Zheng , Pengju Ren

There are many research works and methods about change point detection in the literature. However, there are only a few that provide inference for such change points after being estimated. This work mainly focuses on a statistical analysis…

统计方法学 · 统计学 2021-08-02 Reza Valiollahi Mehrizi , Shojaeddin Chenouri

Machine learning models perform well across domains such as diagnostics, weather forecasting, NLP, and autonomous driving, but their limited uncertainty handling restricts use in safety-critical settings. Traditional neural networks often…

机器学习 · 计算机科学 2025-12-01 Bernhard Klein , Falk Selker , Hendrik Borras , Sophie Steger , Franz Pernkopf , Holger Fröning

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

机器学习 · 统计学 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang

The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

机器学习 · 计算机科学 2022-06-14 Hans Weytjens , Jochen De Weerdt

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

机器学习 · 统计学 2018-12-03 Andrey Malinin , Mark Gales

Calibration error is commonly adopted for evaluating the quality of uncertainty estimators in deep neural networks. In this paper, we argue that such a metric is highly beneficial for training predictive models, even when we do not…

机器学习 · 统计学 2019-11-01 Jayaraman J. Thiagarajan , Bindya Venkatesh , Deepta Rajan

Sequential Bayesian inference over predictive functions is a natural framework for continual learning from streams of data. However, applying it to neural networks has proved challenging in practice. Addressing the drawbacks of existing…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Freddie Bickford Smith , Qixuan Feng , Yee Whye Teh , Yarin Gal

As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

机器学习 · 统计学 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes